Periodic Assessment – I (2022-2023)
SUBJECT : MATHEMATICS
CLASS : IX
TIME : 1 HR
M.M : 30
General Instructions :
- This question paper consists of 15 questions.
- This question paper consists of 4 sections.
- Section A consists of 12 Multiple Choice Questions of 1 marks each.
- Section B consists of 4 questions of 2 marks each.
- Section C consists of 2 questions of 3 marks each.
- Section D consists of 1 case study question of 4 marks.
- All questions are compulsory.
Section – A
Q1. Observer the graph given below and find the value of: Ordinate of B – Ordinate of A (1)
a) 6
b) -6
c) 2
d) -1
Q2. ∜∛√2 is (1)
a) (2)^1/3
b) (2)^1/4
c) (2)^1/6
d) (2)^1/12
Q3. Abscissa of all points on the x-axis is (1)
a) 0
b) 1
c) -1
d) Any number
Q4. Which of the following is a polynomial? (1)
a) x²/2-2/x²
b) √(2x)-1
c) x²+2x
d) x^(3/2)+1
Q5. The point which lies on y-axis at a distance of 3 units in the negative direction of y-axis is (1)
a) (0,-3)
b) (3,0)
c) (0,3)
d) (-3,0)
Q6. A point whose abscissa and ordinate is 2 and -5 lies in which quadrant. (1)
a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV
Q7. The coefficient of x in the expansion of (x+3)² is (1)
a) 1
b) 9
c) 6
d) 3
Q.8 The point of interaction of both the coordinate axis is called (1)
a) ordinate
b) Abscissa
c) Quadrant
d) Origin
Q9. The value of 49²-48² is (1)
a) 1
b) 100
c) 97
d) None of these
Q.10 The square root of 6400 is (1)
a) 80
b) 0.8
c) 8
d) None of these.
Q.11 Signs of abscissa and ordinate of a point in the second quadrant is (1)
a) +,+
b) -,-
c) -,+
d) +,-
Q.12 Find the value of √(√10+6)
a) 4
b) 8
c) 3
d) 2
Section – B
Q13. If y-1/y=2, then find the value of y²-1/y² (2)
Q14. Evaluate: 3^45×3^55-3^85×3^15 (2)
Q15. Find the value of x, if √(25/x)×√(16/x)=4 (2)
Q16. Present age of Rohan is (√3+7√5) years. What is his age after (4√3+6√5) years. (2)
Section – C
Q17. Prove that : (3^a/3^b)^a+b × (3^a/3^c)^b+c × (3^c/3^a)^c+a = 1 (3)
Q.18 Rahul bought a pen for Rs (5√3+3√7) and a notebook for Rs (√3+√7). He gave shopkeeper a note of Rs (2√3+10√7). How much amount the shopkeeper will return him back. (3)
Section – D
Case Study
Q19. Beti Bachao, Beti Padhao (BBBP) is a campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls. (2×2=4)
In a school, a group of (x+y) teachers, (x²+y²) girls organised a campaign on Beti Bachao, Beti Padhao. On the basis of this, answer the following questions :
a) If there are 10 teachers and 80 girls, then find the value of xy.
b) Find the value of (x²-y²), if x-y=23. Also, mention the identity used.